Optimality of the rearrangement inequality with applications to Lorentz-type sequence spaces

  1. Albiac, F. 4
  2. Ansorena, J.L. 3
  3. Leung, D. 2
  4. Wallis, B. 1
  1. 1 Northern Illinois University
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    Northern Illinois University

    DeKalb, Estados Unidos

    ROR https://ror.org/012wxa772

  2. 2 National University of Singapore
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    National University of Singapore

    Singapur, Singapur

    ROR https://ror.org/01tgyzw49

  3. 3 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  4. 4 Universidad Pública de Navarra
    info

    Universidad Pública de Navarra

    Pamplona, España

    ROR https://ror.org/02z0cah89

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Revista:
Mathematical Inequalities and Applications

ISSN: 1331-4343

Año de publicación: 2018

Volumen: 21

Número: 1

Páginas: 127-132

Tipo: Artículo

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DOI: 10.7153/MIA-2018-21-10 SCOPUS: 2-s2.0-85038826094 WoS: WOS:000413811900010 GOOGLE SCHOLAR

Otras publicaciones en: Mathematical Inequalities and Applications

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Resumen

We characterize the sequences (wi)8i=1 of non-negative numbers for which ∞Σi=1aiwi is of the same order as supnnΣi=1aiw1+n-i when (ai)8i=1 runs over all non-increasing sequences of non-negative numbers. As a by-product of our work we settle a problem raised in [1] and prove that Garling sequences spaces have no symmetric basis. © ELEMEN , Zagreb.